A027672 Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200.

1, 0, 1, 1, 2, 3, 7, 7, 19, 27, 52, 87, 172, 279, 550, 960, 1782, 3183, 5845, 10288, 18508, 32284, 56345, 96473, 164157, 274194, 454518, 741321, 1196924, 1906123, 3003750, 4673470, 7198311, 10959836, 16523847, 24654860, 36447873, 53369530

Offset

0,5

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

Ray Chandler, Mathematica program

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

M. Oura, The dimension formula for the ring of code polynomials in genus 4, Osaka J. Math. 34 (1997), 53-72.

Bernhard Runge, On Siegel modular forms, part II, Nagoya Math. J. 138, 179-197 (1995).

Index entries for linear recurrences with constant coefficients, order 168.

Index entries for Molien series

Index entries for sequences related to modular groups

Formula

Oura gives an explicit formula for the Molien series.

Example

1+x^8+x^12+2*x^16+3*x^20+7*x^24+7*x^28+19*x^32+27*x^36+O(x^40).

Mathematica

See link for Mathematica program.

Crossrefs

Cf. A027633, A027638, A051354.

Sequence in context: A060215 A309666 A085420 * A322138 A104138 A281909

Adjacent sequences: A027669 A027670 A027671 * A027673 A027674 A027675

Keyword

nonn,nice,easy

Author

N. J. A. Sloane

Status

approved